Local discontinuous Galerkin methods for nonlinear Schrödinger equations

Y. Xu, Chi-Wang Shu

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    160 Citations (Scopus)

    Abstract

    In this paper we develop a local discontinuous Galerkin method to solve the generalized nonlinear Schrödinger equation and the coupled nonlinear Schrödinger equation. L2 stability of the schemes are obtained for both of these nonlinear equations. Numerical examples are shown to demonstrate the accuracy and capability of these methods.
    Original languageUndefined
    Article number10.1016/j.jcp.2004.11.001
    Pages (from-to)72-97
    Number of pages26
    JournalJournal of computational physics
    Volume205
    Issue number1
    DOIs
    Publication statusPublished - 2005

    Keywords

    • Local discontinuous Galerkin method
    • Nonlinear Schrödinger equation
    • IR-70180
    • METIS-226289
    • EWI-12203

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